Work done in increasing the length of a \(1~\text m\) long wire by \(1 ~\text{mm}\) is \(10 ~\text J.\) The work done in increasing the length further by \(1 ~\text{mm}\) is:
1. \(10 ~\text J\)
2. \(20 ~\text J\)
3. \(30 ~\text J\)
4. \(40 ~\text J\)

If the pressure of a gas is increased from 1.04 x ${10}^5$ Pa to 1.045 x ${10}^5$ Pa and volume is decreased by 5% at a constant temperature, then the Bulk modulus of the gas is:

(1) 1.0425 x ${10}^5$ Pa

(2) 1.045 x ${10}^5$ Pa

(3) ${10}^4$ Pa

(4) 2.5 x ${10}^4$ Pa

The breaking strength of the iron wire of radius r and length l is 2 x ${10}^6 \mathrm{N}/{\mathrm{m}}^2$. Breaking strength of another iron wire of radius r, and length l at the same temperature will be:

(1) 0.5 x ${10}^6 \mathrm{N}/{\mathrm{m}}^2$

(2) 1 x ${10}^6 \mathrm{N}/{\mathrm{m}}^2$

(3) 2 x ${10}^6 \mathrm{N}/{\mathrm{m}}^2$

(4) 8 x ${10}^6 \mathrm{N}/{\mathrm{m}}^2$

The stress-strain curve for two materials \(A\) and \(B\) are as shown in the figure. Select the correct statement:

A material has Poisson's ratio of 0.5 and  If a uniform rod of it suffers a longitudinal strain of 4 x ${10}^{-6}$, then the percentage change in its volume will be

(1) 2%

(2) 8%

(3) 0%

(4) 4%

Select the incorrect statement about Bulk modulus of elasticity.

(1) It is defined for solids, liquids and gases.

(2) ${\mathrm{B}}_{\mathrm{solid}} > {\mathrm{B}}_{\mathrm{liquid}} > {\mathrm{B}}_{\mathrm{gas}}$

(3) The bulk modulus of gas is different for different processes.

(4) Almost for all materials, the Bulk modulus increases with the rise in temperature.

The Poisson's ratio of a material is 0.5, then $\left(\frac{\mathrm{Y}}{\mathrm{B}}\right)$ is: (Y is Young's modulus, B is Bulk modulus)

(1) 5

(2) 3

(3) Zero

(4) Infinite

The Young's modulus of a wire is numerically equal to the stress at a point when:

Practical value of Poisson's ratio lies between:

(1) -1 to 0.5

(2) -0.5 to 1

(3) 0 to 0.5

(4) 0 to 1

Which of the following has the greatest elasticity?

(1) Rubber

(2) Steel

(3) Wood

(4) Mud